#pragma once

inline const int levels[8000] = {
    0,
    800,
    2100,
    3800,
    6100,
    9500,
    12500,
    16000,
    19800,
    24000,
    28500,
    33400,
    38700,
    44200,
    50200,
    56400,
    63000,
    69900,
    77100,
    84700,
    92500,
    100700,
    109200,
    118000,
    127100,
    136500,
    146200,
    156200,
    166500,
    177100,
    188000,
    199200,
    210700,
    222400,
    234500,
    246800,
    259400,
    272300,
    285500,
    299000,
    312700,
    326800,
    341000,
    355600,
    370500,
    385600,
    401000,
    416600,
    432600,
    448800,
    465200,
    482000,
    499000,
    516300,
    533800,
    551600,
    569600,
    588000,
    606500,
    625400,
    644500,
    663800,
    683400,
    703300,
    723400,
    743800,
    764500,
    785400,
    806500,
    827900,
    849600,
    871500,
    893600,
    916000,
    938700,
    961600,
    984700,
    1008100,
    1031800,
    1055700,
    1079800,
    1104200,
    1128800,
    1153700,
    1178800,
    1204200,
    1229800,
    1255600,
    1281700,
    1308100,
    1334600,
    1361400,
    1388500,
    1415800,
    1443300,
    1471100,
    1499100,
    1527300,
    1555800,
    1584350,
    1612950,
    1641600,
    1670300,
    1699050,
    1727850,
    1756700,
    1785600,
    1814550,
    1843550,
    1872600,
    1901700,
    1930850,
    1960050,
    1989300,
    2018600,
    2047950,
    2077350,
    2106800,
    2136300,
    2165850,
    2195450,
    2225100,
    2254800,
    2284550,
    2314350,
    2344200,
    2374100,
    2404050,
    2434050,
    2464100,
    2494200,
    2524350,
    2554550,
    2584800,
    2615100,
    2645450,
    2675850,
    2706300,
    2736800,
    2767350,
    2797950,
    2828600,
    2859300,
    2890050,
    2920850,
    2951700,
    2982600,
    3013550,
    3044550,
    3075600,
    3106700,
    3137850,
    3169050,
    3200300,
    3231600,
    3262950,
    3294350,
    3325800,
    3357300,
    3388850,
    3420450,
    3452100,
    3483800,
    3515550,
    3547350,
    3579200,
    3611100,
    3643050,
    3675050,
    3707100,
    3739200,
    3771350,
    3803550,
    3835800,
    3868100,
    3900450,
    3932850,
    3965300,
    3997800,
    4030350,
    4062950,
    4095600,
    4128300,
    4161050,
    4193850,
    4226700,
    4259600,
    4292550,
    4325550,
    4358600,
    4391700,
    4424850,
    4458050,
    4491300,
    4524600,
    4557950,
    4591350,
    4624800,
    4658300,
    4691850,
    4725450,
    4759100,
    4792800,
    4826550,
    4860350,
    4894200,
    4928100,
    4962050,
    4996050,
    5030100,
    5064200,
    5098350,
    5132550,
    5166800,
    5201100,
    5235450,
    5269850,
    5304300,
    5338800,
    5373350,
    5407950,
    5442600,
    5477300,
    5512050,
    5546850,
    5581700,
    5616600,
    5651550,
    5686550,
    5721600,
    5756700,
    5791850,
    5827050,
    5862300,
    5897600,
    5932950,
    5968350,
    6003800,
    6039300,
    6074850,
    6110450,
    6146100,
    6181800,
    6217550,
    6253350,
    6289200,
    6325100,
    6361050,
    6397050,
    6433100,
    6469200,
    6505350,
    6541550,
    6577800,
    6614100,
    6650450,
    6686850,
    6723300,
    6759800,
    6796350,
    6832950,
    6869600,
    6906300,
    6943050,
    6979850,
    7016700,
    7053600,
    7090550,
    7127550,
    7164600,
    7201700,
    7238850,
    7276050,
    7313300,
    7350600,
    7387950,
    7425350,
    7462800,
    7500300,
    7537850,
    7575450,
    7613100,
    7650800,
    7688550,
    7726350,
    7764200,
    7802100,
    7840050,
    7878050,
    7916100,
    7954200,
    7992350,
    8030550,
    8068800,
    8107100,
    8145450,
    8183850,
    8222300,
    8260800,
    8299350,
    8337950,
    8376600,
    8415300,
    8454050,
    8492850,
    8531700,
    8570600,
    8609550,
    8648550,
    8687600,
    8726700,
    8765850,
    8805050,
    8844300,
    8883600,
    8922950,
    8962350,
    9001800,
    9041300,
    9080850,
    9120450,
    9160100,
    9199800,
    9239550,
    9279350,
    9319200,
    9359100,
    9399050,
    9439050,
    9479100,
    9519200,
    9559350,
    9599550,
    9639800,
    9680100,
    9720450,
    9760850,
    9801300,
    9841800,
    9882350,
    9922950,
    9963600,
    10004300,
    10045050,
    10085850,
    10126700,
    10167600,
    10208550,
    10249550,
    10290600,
    10331700,
    10372850,
    10414050,
    10455300,
    10496600,
    10537950,
    10579350,
    10620800,
    10662300,
    10703850,
    10745450,
    10787100,
    10828800,
    10870550,
    10912350,
    10954200,
    10996100,
    11038050,
    11080050,
    11122100,
    11164200,
    11206350,
    11248550,
    11290800,
    11333100,
    11375450,
    11417850,
    11460300,
    11502800,
    11545350,
    11587950,
    11630600,
    11673300,
    11716050,
    11758850,
    11801700,
    11844600,
    11887550,
    11930550,
    11973600,
    12016700,
    12059850,
    12103050,
    12146300,
    12189600,
    12232950,
    12276350,
    12319800,
    12363300,
    12406850,
    12450450,
    12494100,
    12537800,
    12581550,
    12625350,
    12669200,
    12713100,
    12757050,
    12801050,
    12845100,
    12889200,
    12933350,
    12977550,
    13021800,
    13066100,
    13110450,
    13154850,
    13199300,
    13243800,
    13288350,
    13332950,
    13377600,
    13422300,
    13467050,
    13511850,
    13556700,
    13601600,
    13646550,
    13691550,
    13736600,
    13781700,
    13826850,
    13872050,
    13917300,
    13962600,
    14007950,
    14053350,
    14098800,
    14144300,
    14189850,
    14235450,
    14281100,
    14326800,
    14372550,
    14418350,
    14464200,
    14510100,
    14556050,
    14602050,
    14648100,
    14694200,
    14740350,
    14786550,
    14832800,
    14879100,
    14925450,
    14971850,
    15018300,
    15064800,
    15111350,
    15157950,
    15204600,
    15251300,
    15298050,
    15344850,
    15391700,
    15438600,
    15485550,
    15532550,
    15579600,
    15626700,
    15673850,
    15721050,
    15768300,
    15815600,
    15862950,
    15910350,
    15957800,
    16005300,
    16052850,
    16100450,
    16148100,
    16195800,
    16243550,
    16291350,
    16339200,
    16387100,
    16435050,
    16483050,
    16531100,
    16579200,
    16627350,
    16675550,
    16723800,
    16772100,
    16820450,
    16868850,
    16917300,
    16965800,
    17014350,
    17062950,
    17111600,
    17160300,
    17209050,
    17257850,
    17306700,
    17355600,
    17404550,
    17453550,
    17502600,
    17551700,
    17600850,
    17650050,
    17699300,
    17748600,
    17797950,
    17847350,
    17896800,
    17946300,
    17995850,
    18045450,
    18095100,
    18144800,
    18194550,
    18244350,
    18294200,
    18344100,
    18394050,
    18444050,
    18494100,
    18544200,
    18594350,
    18644550,
    18694800,
    18745100,
    18795450,
    18845850,
    18896300,
    18946800,
    18997350,
    19047950,
    19098600,
    19149300,
    19200050,
    19250850,
    19301700,
    19352600,
    19403550,
    19454550,
    19505600,
    19556700,
    19607850,
    19659050,
    19710300,
    19761600,
    19812950,
    19864350,
    19915800,
    19967300,
    20018850,
    20070450,
    20122100,
    20173800,
    20225550,
    20277350,
    20329200,
    20381100,
    20433050,
    20485050,
    20537100,
    20589200,
    20641350,
    20693550,
    20745800,
    20798100,
    20850450,
    20902850,
    20955300,
    21007800,
    21060350,
    21112950,
    21165600,
    21218300,
    21271050,
    21323850,
    21376700,
    21429600,
    21482550,
    21535550,
    21588600,
    21641700,
    21694850,
    21748050,
    21801300,
    21854600,
    21907950,
    21961350,
    22014800,
    22068300,
    22121850,
    22175450,
    22229100,
    22282800,
    22336550,
    22390350,
    22444200,
    22498100,
    22552050,
    22606050,
    22660100,
    22714200,
    22768350,
    22822550,
    22876800,
    22931100,
    22985450,
    23039850,
    23094300,
    23148800,
    23203350,
    23257950,
    23312600,
    23367300,
    23422050,
    23476850,
    23531700,
    23586600,
    23641550,
    23696550,
    23751600,
    23806700,
    23861850,
    23917050,
    23972300,
    24027600,
    24082950,
    24138350,
    24193800,
    24249300,
    24304850,
    24360450,
    24416100,
    24471800,
    24527550,
    24583350,
    24639200,
    24695100,
    24751050,
    24807050,
    24863100,
    24919200,
    24975350,
    25031550,
    25087800,
    25144100,
    25200450,
    25256850,
    25313300,
    25369800,
    25426350,
    25482950,
    25539600,
    25596300,
    25653050,
    25709850,
    25766700,
    25823600,
    25880550,
    25937550,
    25994600,
    26051700,
    26108850,
    26166050,
    26223300,
    26280600,
    26337950,
    26395350,
    26452800,
    26510300,
    26567850,
    26625450,
    26683100,
    26740800,
    26798550,
    26856350,
    26914200,
    26972100,
    27030050,
    27088050,
    27146100,
    27204200,
    27262350,
    27320550,
    27378800,
    27437100,
    27495450,
    27553850,
    27612300,
    27670800,
    27729350,
    27787950,
    27846600,
    27905300,
    27964050,
    28022850,
    28081700,
    28140600,
    28199550,
    28258550,
    28317600,
    28376700,
    28435850,
    28495050,
    28554300,
    28613600,
    28672950,
    28732350,
    28791800,
    28851300,
    28910850,
    28970450,
    29030100,
    29089800,
    29149550,
    29209350,
    29269200,
    29329100,
    29389050,
    29449050,
    29509100,
    29569200,
    29629350,
    29689550,
    29749800,
    29810100,
    29870450,
    29930850,
    29991300,
    30051800,
    30112350,
    30172950,
    30233600,
    30294300,
    30355050,
    30415850,
    30476700,
    30537600,
    30598550,
    30659550,
    30720600,
    30781700,
    30842850,
    30904050,
    30965300,
    31026600,
    31087950,
    31149350,
    31210800,
    31272300,
    31333850,
    31395450,
    31457100,
    31518800,
    31580550,
    31642350,
    31704200,
    31766100,
    31828050,
    31890050,
    31952100,
    32014200,
    32076350,
    32138550,
    32200800,
    32263100,
    32325450,
    32387850,
    32450300,
    32512800,
    32575350,
    32637950,
    32700600,
    32763300,
    32826050,
    32888850,
    32951700,
    33014600,
    33077550,
    33140550,
    33203600,
    33266700,
    33329850,
    33393050,
    33456300,
    33519600,
    33582950,
    33646350,
    33709800,
    33773300,
    33836850,
    33900450,
    33964100,
    34027800,
    34091550,
    34155350,
    34219200,
    34283100,
    34347050,
    34411050,
    34475100,
    34539200,
    34603350,
    34667550,
    34731800,
    34796100,
    34860450,
    34924850,
    34989300,
    35053800,
    35118350,
    35182950,
    35247600,
    35312300,
    35377050,
    35441850,
    35506700,
    35571600,
    35636550,
    35701550,
    35766600,
    35831700,
    35896850,
    35962050,
    36027300,
    36092600,
    36157950,
    36223350,
    36288800,
    36354300,
    36419850,
    36485450,
    36551100,
    36616800,
    36682550,
    36748350,
    36814200,
    36880100,
    36946050,
    37012050,
    37078100,
    37144200,
    37210350,
    37276550,
    37342800,
    37409100,
    37475450,
    37541850,
    37608300,
    37674800,
    37741350,
    37807950,
    37874600,
    37941300,
    38008050,
    38074850,
    38141700,
    38208600,
    38275550,
    38342550,
    38409600,
    38476700,
    38543850,
    38611050,
    38678300,
    38745600,
    38812950,
    38880350,
    38947800,
    39015300,
    39082850,
    39150450,
    39218100,
    39285800,
    39353550,
    39421350,
    39489200,
    39557100,
    39625050,
    39693050,
    39761100,
    39829200,
    39897350,
    39965550,
    40033800,
    40102100,
    40170450,
    40238850,
    40307300,
    40375800,
    40444350,
    40512950,
    40581600,
    40650300,
    40719050,
    40787850,
    40856700,
    40925600,
    40994550,
    41063550,
    41132600,
    41201700,
    41270850,
    41340050,
    41409300,
    41478600,
    41547950,
    41617350,
    41686800,
    41756300,
    41825850,
    41895450,
    41965100,
    42034800,
    42104550,
    42174350,
    42244200,
    42314100,
    42384050,
    42454050,
    42524100,
    42594200,
    42664350,
    42734550,
    42804800,
    42875100,
    42945450,
    43015850,
    43086300,
    43156800,
    43227350,
    43297950,
    43368600,
    43439300,
    43510050,
    43580850,
    43651700,
    43722600,
    43793550,
    43864550,
    43935600,
    44006700,
    44077850,
    44149050,
    44220300,
    44291600,
    44362950,
    44434350,
    44505800,
    44577300,
    44648850,
    44720450,
    44792100,
    44863800,
    44935550,
    45007350,
    45079200,
    45151100,
    45223050,
    45295050,
    45367100,
    45439200,
    45511350,
    45583550,
    45655800,
    45728100,
    45800450,
    45872850,
    45945300,
    46017800,
    46090350,
    46162950,
    46235600,
    46308300,
    46381050,
    46453850,
    46526700,
    46599600,
    46672550,
    46745550,
    46818600,
    46891700,
    46964850,
    47038050,
    47111300,
    47184600,
    47257950,
    47331350,
    47404800,
    47478300,
    47551850,
    47625450,
    47699100,
    47772800,
    47846550,
    47920350,
    47994200,
    48068100,
    48142050,
    48216050,
    48290100,
    48364200,
    48438350,
    48512550,
    48586800,
    48661100,
    48735450,
    48809850,
    48884300,
    48958800,
    49033350,
    49107950,
    49182600,
    49257300,
    49332050,
    49406850,
    49481700,
    49556600,
    49631550,
    49706550,
    49781600,
    49856700,
    49931850,
    50007050,
    50082300,
    50157600,
    50232950,
    50308350,
    50383800,
    50459300,
    50534850,
    50610450,
    50686100,
    50761800,
    50837550,
    50913350,
    50989200,
    51065100,
    51141050,
    51217050,
    51293100,
    51369200,
    51445350,
    51521550,
    51597800,
    51674100,
    51750450,
    51826850,
    51903300,
    51979800,
    52056350,
    52132950,
    52209600,
    52286300,
    52363050,
    52439850,
    52516700,
    52593600,
    52670550,
    52747550,
    52824600,
    52901700,
    52978850,
    53056050,
    53133300,
    53210600,
    53287950,
    53365350,
    53442800,
    53520300,
    53597850,
    53675450,
    53753100,
    53830800,
    53908550,
    53986350,
    54064200,
    54142100,
    54220050,
    54298050,
    54376100,
    54454200,
    54532350,
    54610550,
    54688800,
    54767100,
    54845450,
    54923850,
    55002300,
    55080800,
    55159350,
    55237950,
    55316600,
    55395300,
    55474050,
    55552850,
    55631700,
    55710600,
    55789550,
    55868550,
    55947600,
    56026700,
    56105850,
    56185050,
    56264300,
    56343600,
    56422950,
    56502350,
    56581800,
    56661300,
    56740850,
    56820450,
    56900100,
    56979800,
    57059550,
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